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The Theorem of Proportionality in Mainstream Capital Theory: An Assessment of its Conceptual Foundations

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Bitros, George

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Abstract

It is ascertained that the theorem of proportionality, which maintains that replacement investment is a constant proportion of the outstanding capital stock, has several fundamental shortcomings. It derives from a model founded on assumptions that are highly restrictive and unlikely to hold in reality. It is alien to the thinking of researchers in industrial organization and other neighboring fields to economics that treat the durability of capital goods as a choice variable. It ignores several thorny conceptual and methodological issues and, perhaps most important, it may have restrained seriously the progress towards developing models based on more realistic approaches of production. However, despite its shortcomings, the theorem continues to dominate mainstream capital theory, most probably because of: a) its simplicity, and b) the lack of a model that might yield a better theorem in terms of standard criteria, like explanatory and predictive power, simplicity, fruitfulness, etc. For this reason attention is drawn to recent research which shows that a model centered on the heterogeneous structure of capital and the useful lives of its components is both feasible and exceedingly rich in theoretical and empirical implications.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 17436.

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Date of creation: 29 Jul 2009
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Handle: RePEc:pra:mprapa:17436

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Related research
Keywords: Capital longevity; replacement; depreciation; scrappage; maintenance; utilization; obsolescence.;

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Find related papers by JEL classification:
E22 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Capital; Investment; Capacity

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Barro, Robert J, 1972. "Monopoly and Contrived Depreciation," Journal of Political Economy, University of Chicago Press, vol. 80(3), pages 598-602, May-June. [Downloadable!] (restricted)
  2. George C. Bitros, 2008. "The Optimal Lifetime Of Assets Under Uncertainty In The Rate Of Embodied Technical Change," Metroeconomica, Blackwell Publishing, vol. 59(2), pages 173-188, 05. [Downloadable!] (restricted)
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  3. Ambler, Steve & Paquet, Alain, 1994. "Stochastic Depreciation and the Business Cycle," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 101-16, February. [Downloadable!] (restricted)
  4. Leonardo Auernheimer, 1986. "Variable Depreciation and Some of Its Implications," Canadian Journal of Economics, Canadian Economics Association, vol. 19(1), pages 99-113, February. [Downloadable!] (restricted)
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  1. Bitros, George/ C, 2009. "The Theorem of Proportionality in Mainstream Capital Theory: An Assessment of its Applicability," MPRA Paper 17821, University Library of Munich, Germany. [Downloadable!]
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